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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-47/8, b>=a > For fixed z and a=-47/8, b=29/8





http://functions.wolfram.com/07.23.03.b5gj.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 29/8, -(9/2), z] == (1/129024) ((1/(1 + Sqrt[z])^(9/4)) (64512 + 145152 Sqrt[z] + 396032 z + 694512 z^(3/2) + 1411332 z^2 + 2248935 z^(5/2) + 4233996 z^3 + 6548256 z^(7/2) + 13069056 z^4 + 20756736 z^(9/2) + 64576512 z^5 + 68530176 z^(11/2) - 168689664 z^6 - 330891264 z^(13/2) - 147062784 z^7) + (1/(1 - Sqrt[z])^(9/4)) (64512 - 145152 Sqrt[z] + 396032 z - 694512 z^(3/2) + 1411332 z^2 - 2248935 z^(5/2) + 4233996 z^3 - 6548256 z^(7/2) + 13069056 z^4 - 20756736 z^(9/2) + 64576512 z^5 - 68530176 z^(11/2) - 168689664 z^6 + 330891264 z^(13/2) - 147062784 z^7))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02